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The minimal genus of homology classes in a finite 2-complex

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Publication:2172195
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DOI10.2140/agt.2022.22.1375OpenAlexW4294977171MaRDI QIDQ2172195

Thorben Kastenholz, Mark Pedron

Publication date: 15 September 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08485


zbMATH Keywords

undecidabilityminimal genushomology classestwo-complex


Mathematics Subject Classification ID

Realizing cycles by submanifolds (57R95)


Related Items (1)

The minimal genus problem for right angled Artin groups



Cites Work

  • Unnamed Item
  • Scl in graphs of groups
  • Surface subgroups from homology.
  • scl.
  • Volume and bounded cohomology
  • The degree of a map between surfaces
  • Surfaces et cohomologie bornée. (Surfaces and bounded cohomology)
  • Deformation of maps to branched coverings in dimension two
  • Using surfaces to solve equations in free groups
  • The genus of embedded surfaces in the projective plane
  • The symplectic Thom conjecture
  • Fundamentalgruppe und zweite Bettische Gruppe
  • Stable commutator length is rational in free groups
  • On the algorithmic insolvability of the word problem in group theory
  • Genera of the arborescent links
  • Foliations and the topology of 3-manifolds


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